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Finding the Third Proportional to 601,971.75 and 825,450.75

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Solution

The third proportional to 601,971.75 and 825,450.75 is: 1,131,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,971.75 : 825,450.75 = 825,450.75 : x
  2. Step 2: Convert to fraction form
    601,971.75/825,450.75 = 825,450.75/x
  3. Step 3: Cross multiply
    601,971.75x = 825,450.75 × 825,450.75
  4. Step 4: Simplify right side
    601,971.75x = 681,368,940,675.56
  5. Step 5: Solve for x
    x = 681,368,940,675.56/601,971.75
  6. Step 6: Final answer
    x = 1,131,895.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.